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2 years ago

Y = 10 is a solution for 7(x + 9) = 132

Mathematics

2 answers:

12345 [234]2 years ago

8 0

Answer:

its close 9.45

Step-by-step explanation:

7(x+9)=132

7x+63=132

7x=132-63

7x=69

x=69/7

x=9.45

denpristay [2]2 years ago

4 0

Answer:

Your answer is 67/9 or 9 6/7

Step-by-step explanation:

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Which linear inequality is graphed with y >x-2 to

jek_recluse [69]

Answer:

Step-by-step explanation:

It's D on Edge, hope this helps

3 0

3 years ago

9x-12 x=6 PLS I NEED HELP BY TONIGHT!!

Xelga [282]

Answer:

9 x 6 = 54 - 12 = 42

4 0

3 years ago

16. From past experience, a company has found that in cartons of transistors, 92% contain no defective transistors, 3% contain o

Lynna [10]

Answer:

E(x)=0.15

V(x)=0.3075

S(x)=0.5545

Step-by-step explanation:

The mean of a discrete variable is calculated as:

$E(x)=x_1*p(x_1)+x_2*p(x_2)+...+x_n*p(n)$

where $x_1,x_2,...,x_n$ are the values that the variable can take and $p(x_1),p(x_2),...,p(x_n)$ are their respective probabilities.

So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:

$E(x)=(0*0.92)+(1*0.03)+(2*0.03)+(3*0.02)=0.15$

Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.

At the same way, the variance V(x) is calculated as:

$V(x)=E(x^2)-(E(x))^2$

Where $E(x^2)=x_1^2*p(x_1)+x_2^2*p(x_2)+...+x_n^2*p(n)$

So, the variance V(x) is equal to:

$E(x^2)=(0^2*0.92)+(1^2*0.03)+(2^2*0.03)+(3^2*0.02)=0.33\\V(x)=0.33-(0.15)^2\\V(x)=0.3075$

Finally, the standard deviation is calculated as:

$S(x)=\sqrt{V(x)} \\S(x)=\sqrt{0.3075} \\S(x)=0.5545$

8 0

3 years ago

Read 2 more answers

In two or more complete sentences compare the number of xintercepts in the graph of f(t)=t^2 to the number of x-intercepts in th

chubhunter [2.5K]

Answer:

f(t)=t^2 rests at (0/0) and grows upwards, so there is only a single x-intercept. g(t)=(t+3)^2 is f moved 3 to the left, so it also only has one intercept but at (-3,0).

Step-by-step explanation:

8 0

3 years ago

Sarah wants to arrive at her friends wedding at 3:00 pm. The distance from Sarah’s house to the wedding is 85 miles. Based on us

Mrrafil [7]

Answer:

(A) 15 minutes

(B) 10 minutes

(D) 1:35 pm

Step-by-step explanation:

Question:

Sarah wants to arrive at her friend’s wedding at 3:00 PM. The distance from Sarah’s house to the wedding is 85 miles. Based on usual traffic patterns, Sarah predicts she can drive the first 15 miles at 60 miles per hour, the next 5 miles at 30 miles per hour, and the remainder of the drive at 65 miles per hour.

(A) how many minutes will it take Sarah to drive the first 15 miles?

(B) how many minutes will it take Sarah to drive 5 miles?

(D) what time should Sarah leave her house? (Give your answer using standard hour:minute clock format.)

Solution:

Total distance = 85 miles

There are three segments of this trip, each one with its own speed.

1) 15 miles at 60 mph

2) 5 miles at 30 mph

Up to here, the distance is 15 miles + 5 miles = 20 miles.

The total distance is 85 miles, so the last segment of the trip is 85 miles - 20 miles = 65 miles.

3) 65 miles at 65 mph

The equation for speed is:

speed = distance/time

Now we solve it for time:

speed * time = distance

time = distance/speed

To find a time, divide the distance by the speed.

Part (A)

distance = 15 miles; speed = 60 mph; find time

time = distance/speed = 15 miles/60 mph = 0.25 hours

Since 1 hour = 60 minutes,

time = 0.25 hours * 60 minutes/hour = 15 minutes

Part (B)

distance = 5 miles; speed = 30 mph; find time

time = distance/speed = 5 miles/30 mph = 1/6 hour

Since 1 hour = 60 minutes,

times = 1/6 hour * 60 minutes/hour = 10 minutes

Part (C)

distance = 65 miles; speed = 65 mph; find time

time = distance/speed = 65 miles/65 mph = 1 hour

Part (D)

The driving times for the three segments are 15 minutes, 10 minutes, and 1 hour. The total driving time is

15 minutes + 10 minutes + 1 hour = 1 hour and 25 minutes

Now we subtract 1 hour 25 minutes from 3:00 pm.

3:00 pm is the same as 2:60 pm

2:60 pm - 1:25 = 1:35 pm

She needs to leave at 1:35 pm

5 0

3 years ago